FEM Hydroelastic Models with Application to the Nonlinear Response of Large Floating Bodies in Shallow Wave Conditions

Angeliki E. Karperaki

doi:10.1016/j.procs.2015.11.015

FEM Hydroelastic Models with Application to the Nonlinear Response of Large Floating Bodies in Shallow Wave Conditions

Angeliki E. Karperaki^*

^*Corresponding author for this work

Research output: Contribution to journal › Conference article › peer-review

Abstract

A higher order finite element scheme is presented for the study of the transient hydroelastic response of a floating, thin, nonlinear strip in shallow wave conditions. First, nonlinear effects are introduced only in the elasticity model, where large deflections and non-negligible normal stress variation in the lateral direction are assumed. The nonlinear beam is initially coupled with the linearized and subsequently with the full nonlinear Shallow Water equations, introducing nonlinearity in both the hydrodynamics and the elasticity model. The effects of the incorporated nonlinear effects are assessed through a numerical example featuring an elevation pulse of increasing steepness.

Original language	English
Pages (from-to)	122-131
Number of pages	10
Journal	Procedia Computer Science
Volume	66
DOIs	https://doi.org/10.1016/j.procs.2015.11.015
Publication status	Published - 27 Nov 2015
Event	4th International Young Scientist Conference on Computational Science, 2015 - Athens, Greece Duration: 25 Jun 2015 → 25 Jun 2015

Bibliographical note

Publisher Copyright:
© 2015 The Authors. Published by Elsevier B.V.

Keywords

Galerkin FEM
large floating bodies
nonlinear floating elastic strip
Shallow Water Equations
transient hydroelasticity

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10.1016/j.procs.2015.11.015

FEM hydroelastic models
© The Authors. Published by Elsevier B.V. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International https://creativecommons.org/licenses/by-nc-nd/4.0/
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Cite this

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title = "FEM Hydroelastic Models with Application to the Nonlinear Response of Large Floating Bodies in Shallow Wave Conditions",

abstract = "A higher order finite element scheme is presented for the study of the transient hydroelastic response of a floating, thin, nonlinear strip in shallow wave conditions. First, nonlinear effects are introduced only in the elasticity model, where large deflections and non-negligible normal stress variation in the lateral direction are assumed. The nonlinear beam is initially coupled with the linearized and subsequently with the full nonlinear Shallow Water equations, introducing nonlinearity in both the hydrodynamics and the elasticity model. The effects of the incorporated nonlinear effects are assessed through a numerical example featuring an elevation pulse of increasing steepness.",

keywords = "Galerkin FEM, large floating bodies, nonlinear floating elastic strip, Shallow Water Equations, transient hydroelasticity",

author = "Karperaki, {Angeliki E.}",

note = "Publisher Copyright: {\textcopyright} 2015 The Authors. Published by Elsevier B.V. ; 4th International Young Scientist Conference on Computational Science, 2015 ; Conference date: 25-06-2015 Through 25-06-2015",

year = "2015",

month = nov,

day = "27",

doi = "10.1016/j.procs.2015.11.015",

language = "English",

volume = "66",

pages = "122--131",

journal = "Procedia Computer Science",

issn = "1877-0509",

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TY - JOUR

T1 - FEM Hydroelastic Models with Application to the Nonlinear Response of Large Floating Bodies in Shallow Wave Conditions

AU - Karperaki, Angeliki E.

PY - 2015/11/27

Y1 - 2015/11/27

N2 - A higher order finite element scheme is presented for the study of the transient hydroelastic response of a floating, thin, nonlinear strip in shallow wave conditions. First, nonlinear effects are introduced only in the elasticity model, where large deflections and non-negligible normal stress variation in the lateral direction are assumed. The nonlinear beam is initially coupled with the linearized and subsequently with the full nonlinear Shallow Water equations, introducing nonlinearity in both the hydrodynamics and the elasticity model. The effects of the incorporated nonlinear effects are assessed through a numerical example featuring an elevation pulse of increasing steepness.

AB - A higher order finite element scheme is presented for the study of the transient hydroelastic response of a floating, thin, nonlinear strip in shallow wave conditions. First, nonlinear effects are introduced only in the elasticity model, where large deflections and non-negligible normal stress variation in the lateral direction are assumed. The nonlinear beam is initially coupled with the linearized and subsequently with the full nonlinear Shallow Water equations, introducing nonlinearity in both the hydrodynamics and the elasticity model. The effects of the incorporated nonlinear effects are assessed through a numerical example featuring an elevation pulse of increasing steepness.

KW - Galerkin FEM

KW - large floating bodies

KW - nonlinear floating elastic strip

KW - Shallow Water Equations

KW - transient hydroelasticity

UR - http://www.scopus.com/inward/record.url?scp=84962668866&partnerID=8YFLogxK

UR - https://www.sciencedirect.com/science/article/pii/S1877050915033645

U2 - 10.1016/j.procs.2015.11.015

DO - 10.1016/j.procs.2015.11.015

M3 - Conference article

AN - SCOPUS:84962668866

SN - 1877-0509

VL - 66

SP - 122

EP - 131

JO - Procedia Computer Science

JF - Procedia Computer Science

T2 - 4th International Young Scientist Conference on Computational Science, 2015

Y2 - 25 June 2015 through 25 June 2015

ER -

FEM Hydroelastic Models with Application to the Nonlinear Response of Large Floating Bodies in Shallow Wave Conditions

Abstract

Bibliographical note

Keywords

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